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163340064 = 2534294153
BaseRepresentation
bin10011011110001…
…01111100100000
3102101100112110000
421233011330200
5313303340224
624112540000
74022240046
oct1157057440
9371315400
10163340064
1184223898
1246851600
1327abcb34
141799c396
15e5170c9
hex9bc5f20

163340064 has 240 divisors, whose sum is σ = 518668920. Its totient is φ = 50319360.

The previous prime is 163340059. The next prime is 163340069. The reversal of 163340064 is 460043361.

163340064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163340059) and next prime (163340069).

It can be written as a sum of positive squares in 4 ways, for example, as 118984464 + 44355600 = 10908^2 + 6660^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (163340069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081862 + ... + 3081914.

Almost surely, 2163340064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259334460).

163340064 is an abundant number, since it is smaller than the sum of its proper divisors (355328856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163340064 is a wasteful number, since it uses less digits than its factorization.

163340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 163340064 is about 12780.4563298812. The cubic root of 163340064 is about 546.6351743376.

The spelling of 163340064 in words is "one hundred sixty-three million, three hundred forty thousand, sixty-four".